Question

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Factorize
$\frac{ {x}^{2} }{36} - \frac{ {y}^{2} }{4a}$
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Answer 1

Answer:

$( \frac{x}{6} + \frac{y}{2 \sqrt{a} } )( \frac{x}{6} - \frac{y}{2 \sqrt{a} }$

Step-by-step explanation:

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⠀⠀Question :

$\sf \large\frac{ {x}^{2} }{36} - \frac{ {y}^{2} }{4a}$

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⠀⠀Solution :

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Using (a² - b²) identity

(a² - b²) = (a + b)(a - b)

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$\sf \large {( \frac{x}{6}) }^{2} - {( \frac{y}{2 \sqrt{a} }) }^{2} \\ \\ \boxed{ \large {\tt( \frac{x}{6} + \frac{y}{2 \sqrt{a} } )( \frac{x}{6} - \frac{y}{2 \sqrt{a} } )}}$